Information on Result #691694
Linear OA(16117, 1048622, F16, 23) (dual of [1048622, 1048505, 24]-code), using construction X applied to Ce(22) ⊂ Ce(14) based on
- linear OA(16106, 1048576, F16, 23) (dual of [1048576, 1048470, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1671, 1048576, F16, 15) (dual of [1048576, 1048505, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(1611, 46, F16, 7) (dual of [46, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(1611, 51, F16, 7) (dual of [51, 40, 8]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16118, 1048623, F16, 23) (dual of [1048623, 1048505, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16117, 524311, F16, 2, 23) (dual of [(524311, 2), 1048505, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(16117, 95329, F16, 23, 23) (dual of [(95329, 23), 2192450, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |